Mathematics High School

Find the area of the sector of the circle.

A)40π
B)200π
C)60π
D)300π

Find The Area Of The Sector Of The Circle.A)40B)200C)60D)300

Answers

Answer 1

Answer:

the answer is D) 300 π

Step-by-step explanation:

Formula for Area of sector is:

θ/360° * π * (r)^2

here,

θ= 30° and radius= 60 in

so, after we substitute, we get:

30/360* π* 60*60       after simplifying we get:

= 1/12* π* 5*60

=300π

Hope it helps.

Answer 2

Answer:

D

Step-by-step explanation:

area of sector=

[tex] \frac{theta}{360} \times \pi \: r {}^{2} \\ \\ \frac{30}{360} \times \pi \: (60) {}^{2} \\ \\ 300\pi[/tex]

360

Related Questions

An airplane flies with a constant speed of 620 miles per hour. How far can it travel in 2 hours 30 minutes?

Answers

Answer:

1550 miles

Step-by-step explanation:

rate * time = distance

620 m/hr  *  2.5 hr = 1550 miles

(Note that   2 hr and 30 min is 2 and 1/2 hours = 2.5 hours)

what is the standard form of this graph

Answers

the standard form of that graph is ax squared +bx+c

Solve 7k+17=30

give your answer as a fraction in its simplest form

Answers

7k+17=30
7k=13
k= 7/13

The equation of k is 13/7.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

7k+17=30

Now, solving for k

Subtract both side 17

7k + 17 - 17 = 30 - 17

7k = 13

k= 13/7

Hence, the equation of k is 13/7.

Learn more about equation here:

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Complete the table below to show that the relationship holds for all the triangles above.

SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
IMAGE ABOVE

Answers

Hope I helped- use the picture at the bottom for help next time

Consider the graph of the function f(x)=log2 x. What are the features of the function g if g(x)=f(x+4)+8?​

Answers

The function of g is plugging in f+2 and then equaling it to the f(x+4)+8

A bag contains 3 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?

Answers

Answer:

[tex]\frac{3}{13}[/tex]

Step-by-step explanation:

First you need to find how many marbles there are in total, so 3+8+2= 13

The probability of the marble being red is [tex]\frac{3}{13}[/tex] then

Hope this helps! :)

No it’s 2/13 because it asked for the probability of 2 marbles not 3

PLEASE HELP!! I’m really bad with word problems.

Answers

Answer:

19). V = 381.51 cubic inches

20) The cylindrical box has a greater volume so Lin would prefer getting it.

Step-by-step explanation:

Assuming that the plastic bag filled with water was shaped like a sphere (bc there's not enough context to make it anything other than a sphere), the solution lies within an equation:

V = 4/3πr^3

This is the equation for finding the volume of sphere.

Hint: diameter = radius/2

V = 4/3π(4.5)^3

V = 4/3π(91.125)

V = 4.19(91.125)

V = 381.51 cubic inches

______________________________________________________

Equation of a rectangular prism: V = L * W * H

Equation of cylinder: V = πr^2h

Rectangle box:

V = 12 * 9 * 10

V = 120 * 9

V = 1080

Cylinder box:

V = π5^2(14)

V = π(25)(14)

V = 350 * 3.14

V = 1099

1080 < 1099

A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is
16:9
What is the length of the diagonal of the screen, to the nearest whole inch?
Enter your answer in the box.

Answers

Answer:

22.95 in  =   ~~ 23 inches

Step-by-step explanation:

16 + 9 = 25

9/16 =  x/20      shows x = 11.25   in      is height

diagonal  ( via pyhtag theorem)

=   sqrt ( 20^2 + 11.25^2 ) = 22.95 inches  

THE SUM OF THREE CONSECUTIVE EVEN INTEGERS IS 72 FIND THE THIRD INTEGERS.​

Answers

Answer: The three consecutive even numbers are 22, 24, 26

22+24+26 = 72

========================================================

Explanation:

x = first even numberx+2 = second even number directly right after x(x+2)+2 = x+4 = third even number directly after x+2

For example, if x = 12, then we'd have x+2 = 12+2 = 14 and x+4 = 14+4 = 18.

However 12+14+18 = 44 is not 72 like we want.

You can guess-and-check your way to the answer, but a faster efficient route is to use algebra. Add up those x expressions and set the sum equal to 72 and solve.

(first) + (second) + (third) = 72

(x) + (x+2) + (x+4) = 72

3x+6 = 72

3x = 72-6

3x = 66

x = 66/3

x = 22

So we have,

x = 22 = first even numberx+2 = 22+2 = 24 = second even numberx+4 = 22+4 = 26 = third even number

As a check: 22+24+26 = 72 which verifies the answers.

-0.056 + 0.27 = ?

Please show ALL of your work and how you got your answer! (-:

✨50 POINTS!!✨

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\textbf{GUIDE to remember: }[/tex]

[tex]\bullet\large\textsf{\ 2 negatives = \bf positive}\\\bullet\large\textsf{2 positives = \bf positive}\\\bullet\large\textsf{1 negative \& 1 positive = \bf negative}\\\bullet\large\textsf{1 positive \& 1 negative = \bf negative}\\\\\large\boxed{Since, your\ equation\ contains\ 1 \ negative\ \& \ 1\ positive, your \ result}\\\large\boxed{will \ most \ likely \ be \ a \ \huge\boxed{{negative}}}\large\checkmark[/tex]

[tex]\large\boxed{\rm{EQUATION: -0.056 + 0.27}}[/tex]
[tex]\large\text{SOLVING FOR THE EQUATION PROVIDED ABOVE}\uparrow \\\\\large\text{Start at \boxed{\rm{-0.056}} and \underline{go \bold{up}} \boxed{\rm{0.27}} \underline{\underline{spaces to the right}} side of}\\\large\text{the number line.}[/tex]

[tex]\large\text{You should have landed/stopped on \boxed{\rm{0.214}}}[/tex]


[tex]\huge\textbf{Therefore, your answer should be \boxed{\mathsf{0.214}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Calla bought 8 writing utensils for a total of $30. Pens cost $4 each and pencils cost $3 each. How many pens did she buy?

Answers

Answer: 3

Explanation:

The width of a box is one third of its length. The
height of the box is one third of its width. If the
length of the box is 27 cm, what is the volume of
the box?
a. 81 cm3
b. 162 cm3
c. 243 cm3
d. 729 cm3

Answers

Answer:

d) 729cm^3

Step-by-step explanation:

Length =27cm

Width = 1/3 of length

= 1/3 of 27cm = 1/3 × 27cm = 9cm

Height = 1/3 of width

= 1/3 of 9cm = 1/3 × 9cm = 3cm

So, length = 27cm; width = 9cm; height = 3cm

So, volume = length × width × height

= 27cm × 9cm × 3cm = 729cm^3

A satellite flies 136640 miles in 17. 08 hours. How many miles has it flown In 9. 87 hours

Answers

Answer:

78 960 miles

Step-by-step explanation:

136640 m / 17.08 hr = 8000 m/hr

8000 m/hr  * 9.87 hr  = 78 960 miles

Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:

StartFraction 2 Over x squared minus 36 EndFraction minus StartFraction 1 Over x squared + 6 x EndFraction = StartFraction 2 Over (x + 6) (x minus 6) EndFraction minus StartFraction 1 Over x (x + a) EndFraction. = StartFraction b x Over (x + 6) (x minus 6) x EndFraction minus StartFraction x minus c Over (x + 6) (x minus 6) x EndFraction. = StartFraction d x minus x + e Over (x + 6) (x minus 6) x EndFraction. = StartFraction x + f Over (x + 6) (x minus 6) x EndFraction. = StartFraction g Over x (x minus 6) EndFraction

a =

b =

c =

d =

e =

f =

g

Answers

Answer: I got you

The values are:

a = 6

b = 2

c = 6

d = 2

e = 6

f = 6

g = 1

Step-by-step explanation: Hope this helps

The values for the highlighted variables that show how to subtract the rational expressions are; a = 6, x^2 + 6x is equal to x(x+6), and b=2.

What is rational expressions?

From the information, the denominator and numerator of the first term are multiplied by x.

The difference of squares is factored as (a² -b²) = (a +b)(a -b), so the denominator of the first term can be factored.

The common factor x can be factored out of the denominator of the second term which gives ...

[tex]\dfrac{2}{x^2-36}-\dfrac{1}{x^2+6x}= \dfrac{2}{(x+6)(x-6)}-\dfrac{1}{x(x+6)}\quad a=6[/tex]

Now Multiplying the first term by x/x and the second term by (x-6)/(x-6) gives ...

[tex]\dfrac{2x}{(x+6)(x-6)x}-\dfrac{x-6}{(x+6)(x-6)x}\quad b=2,\ c=6[/tex]

Writing the sum over the common denominator, we have;

[tex]\dfrac{2x-x+6}{(x+6)(x-6)x}\quad d=2,\ e=6[/tex]

Collecting terms in the numerator gives ...

[tex]\dfrac{x+6}{(x+6)(x-6)x}\quad f=6[/tex]

Finally, canceling the common factor we get;

1/(x-6)x

The values of the letters are;  a=6, b=2, c=6, d=2, e=6, f=6, g=1

Learn more about expressions on:

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Which polynomial identities are correct?

Select ALL that apply.
1. a2−b2=(a−b)(a+b)
2. (a+b)3=a3+3ab+b3
3. (a−b)3=a3−b3

Answers

Answer:

a2−b2=(a−b)(a+b) is correct.

Step-by-step explanation:

(a+b)3=a3+3a²b+3ab²+b3

(a−b)3=a3-3a²b+3ab²−b3

pls help me wirh this

Answers

No. It’s faces are triangles

Clover O Donnell
Problem iu: PRAEUS
A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image.
13 in
10 in
1 in
5 in
What is the volume of this piece?
Do not include units (in?) in your answer.
copied for free from openupresources.org
below as a number example: 5.3.1.4 1/2, or 3/2)

Answers

the answer is i believe , 350 cubed inches

The garden club earned $15dollar sign, 15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their earnings.
How much did the garden club earn in all?

Answers

Answer:

Step-by-step explanation:

the answer should be 15t times 2.

Answer:

anser is 60$

Step-by-step explanation:

15*2 = 30 (total without donor)

donor is multiplying what the earned my 2 so 30*2+60

find the sum or difference [-3 0 5 -7 + -4 2 -1 8] 30 points please help me.

Answers

Answer:

-372

Step-by-step explanation:

-305 -7 + (-42) -18

-312 + (-42) -18

-312 - 42 - 18

-354 - 18

-372

PLEASE HELP ME 60 QUESTIONS ARE DUE TODAY!!!!!!!!!!!!!!!!!!!! PLS HELP WILL GIVE BRAINlIEST!!!!!

Answers

Answer:

x=3/2

Decimal Form:

x=1.5

Mixed Number Form:

x=1-1/2

Step-by-step explanation:

solve the equation :
[tex] |6x^{2} + x - 2| + |2 + 3x - 9x^{2} | = |4x - 3x ^{2} | [/tex]
​

Answers

Answer:

x = ∞

Step-by-step explanation:

Solving

| 6x² + x - 2 | + | 2 + 3x - 9x² | = | 4x - 3x² |6x² + x - 2 + 2 + 3x - 9x² = 4x - 3x²-3x² + 4x = 4x - 3x²x = ∞Any value is possible as long as it is positive and a real number

The length of a rectangle is 10 cm and the width is 15 cm. What is the
area of the rectangle in square meters?

Answers

Answer:

0.015 m²

Step-by-step explanation:

Since we need the area in square meters, we need to first convert our centimeter values into meters.

[tex]\frac{1m}{100cm} =10cm[/tex]

1 · 10 = 10
10/100 = 0.1 m

[tex]\frac{1m}{100cm} =15cm[/tex]

1 · 15 = 15
15/100 = 0.15 m

The area of a rectangle is a = l · w. Plugging in the given values, we get:

a = 0.1 × 0.15

a = 0.015 m²

hope this helps!

An old car has to travel a 2-mile route, uphill and down. Because it is so old, the car can climb the first mile, the ascent, no faster than an average speed of 15 mi/h. How fast does the car have to travel the second mile, on the descent, to achieve an average speed of 30 mi/h for the trip

Answers

Answer:

2s + 30 = 2s

Step-by-step explanation:

Time up hill + time down hill = total time

:

Multiply equation by 30s; results

2s + 30 = 2s

:

16 ounces is equivalent to 1 pound. A lion cub born at the zoo weighs 2 1/2 pounds. How many ounces does the lion cub weigh? Show your work.

Answers

Answer:

40 ounces.

Step-by-step explanation:

Simply multiple 2 1/2 pounds with 16 in order to find how many ounces the lion cub weighs.

2.5 * 16 = 40

Therefor, the lion cub weighs 40 ounces.

carnival a charges an entres fee of 7.50 and 0,75per tiket for the rides carnival b charges an entrence fee of 12.00

Answers

Answer:

So what? Please tell the full question

Use the graphing calculator to graph the parent function. f(x) = log(x) add the translated function. f(x) = log(x - h) k plug in different values of h and k to answer the following questions. what happens when h is positive? what happens when h is negative? what happens when k is positive? what happens when k is negative?

Answers

The functions f(x) = log(x) and f(x) = log(x - h) + k are logarithmic functions

How to interpret the graph?

The functions are given as:

f(x) = log(x)

f(x) = log(x - h) + k

From the graph of both functions, we have the following highlights:

When h is positive, the graph moves closer to the positive x-axisWhen h is negative, the graph moves closer to the negative x-axisWhen k is positive, the graph moves closer to the positive y-axisWhen k is negative, the graph moves closer to the negative y-axis

Read more about logarithmic functions at:

https://brainly.com/question/1695836

Answer:

horizontal shift to the right,

horizontal shift to the left,

vertical shift up,

vertical shift down.

Step-by-step explanation:

This is the hardest one yet! Please help!!

Answers

Answer:

Write your question.

Step-by-step explanation:

We're waiting...

Answer:

whats the question?

Step-by-step explanation:

158962.5 rounded to nearest tenth

Answers

Answer:

158962.5

Step-by-step explanation:

it is already round to the tenth ,but if you are talking about rounding to the neartest whole number is it 158963

sorry if i am wrong :) have a nice day

1. Find the sum of the series
15
∑ (2n-1)
n-1.
Show your work.​

Answers

[tex]\\ \rm\Rrightarrow \sum^{15}_{n=1}2n-1[/tex]

[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(15)-1[/tex]

[tex]\\ \rm\Rrightarrow 1,3,5\dots 29[/tex]

Sum of first 15 odd nos

n²15²225

what is the number of pie in math​

Answers

Answer:

A pie in maths have a degree of 360 degrees

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